On the Genus-One Gromov-Witten Invariants of a Quintic Threefold

dc.creatorLi, Jun
dc.creatorZinger, Aleksey
dc.date2004-06-06
dc.date2005-07-05
dc.date.accessioned2026-07-07T05:08:55Z
dc.date.available2026-07-07T05:08:55Z
dc.descriptionWe rederive a relation between the genus-one GW-invariants of a quintic threefold in $\Pf$ and the genus-zero and genus-one GW-invariants of $\Pf$. In contrast to the more general derivation in a separate paper, the present derivation relies on a widely believed, but still unproven, statement concerning rigidity of holomorphic curves in Calabi-Yau threefolds. On the other hand, this paper's derivation is more direct and geometric. It requires a bit more effort, but relies on less outside work.
dc.description55 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0406105
dc.identifierhttp://arxiv.org/abs/math/0406105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71452
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14N35, 53D45
dc.titleOn the Genus-One Gromov-Witten Invariants of a Quintic Threefold
dc.typetext

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